Alec Mihailovs

Dr. Aleksandrs Mihailovs

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20 years, 341 days
Mihailovs, Inc.
Owner, President, and CEO
Tyngsboro, Massachusetts, United States

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I received my Ph.D. from the University of Pennsylvania in 1998 and I have been teaching since then at SUNY Oneonta for 1 year, at Shepherd University for 5 years, at Tennessee Tech for 2 years, at Lane College for 1 year, and this year I taught at the University of Massachusetts Lowell. My research interests include Representation Theory and Combinatorics.

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These are replies submitted by Alec Mihailovs

It is interesting, by the way, in which order the labels (or indices) are assigned.

Alec

It is interesting, by the way, in which order the labels (or indices) are assigned.

Alec

There is no a natural ordering of complex numbers. To compare them, you have to define such an order first. Even with that, there will be a problem that there are 4 roots.

Alec

There is no a natural ordering of complex numbers. To compare them, you have to define such an order first. Even with that, there will be a problem that there are 4 roots.

Alec

simplify(M1-N1);
                                  0

Alec

Where did you see in the help that "display" is for plotting functional relationships? I didn't see that in the ?plots,display help page.

Actually, all of Maple plot commands are for numerical data, and not for functional relationships. Even when, say, a plot command is used for plotting a function, then first this function is evaluated in series of points, getting "numeric data", and then this "numeric data" is plotted.

Now, why it didn't work when you tried it. You didn't provide an example in your original post, so I couldn't show you how to do that in that (unexisting) example.

Alec

Where did you see in the help that "display" is for plotting functional relationships? I didn't see that in the ?plots,display help page.

Actually, all of Maple plot commands are for numerical data, and not for functional relationships. Even when, say, a plot command is used for plotting a function, then first this function is evaluated in series of points, getting "numeric data", and then this "numeric data" is plotted.

Now, why it didn't work when you tried it. You didn't provide an example in your original post, so I couldn't show you how to do that in that (unexisting) example.

Alec

After replacing pi with Pi,

solve(eqn5) ;

works.

Alec

 

The next step after the help files and the manuals from the Maple Documentation Center, is the Maple Application Center.

For Calculus, you can select "Education Power Tools" in the Browse by Category drop-down menu at the rhs, Then choose Calculus I, or II, for example.

The only problem with them is that they are outdated. In particular, they use student package, which is deprecated now.

That, in general, is the main problem with 3rd party documentation - it is outdated.

Maple 9.5 is also quite outdated though. Maple 12.02 is better.

Alec

 

Yes, you understand correctly. By x1 close to the end you, probably, meant x+1.

I did it slightly differently at the end, for the output, using mods, which gives integers from -1 to 2 instead of integers from 0 to 3. Integers from 0 to 3 can be obtained by dropping that mods (and 2^n) in the last command in the procedure. I used negative numbers just because of your last example, including them.

Alec

Yes, you understand correctly. By x1 close to the end you, probably, meant x+1.

I did it slightly differently at the end, for the output, using mods, which gives integers from -1 to 2 instead of integers from 0 to 3. Integers from 0 to 3 can be obtained by dropping that mods (and 2^n) in the last command in the procedure. I used negative numbers just because of your last example, including them.

Alec

In both input and output, the actual coefficients, which are in GF(16), are coded as integers mod 16, as in your post below (and one of my posts above).

Alec

In both input and output, the actual coefficients, which are in GF(16), are coded as integers mod 16, as in your post below (and one of my posts above).

Alec

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